106
5 Quantum Code Constructions
Table 5.12 Code comparison
Our Hermitian codes
Hermitian codes in [4]
[[n, n − 4(c − 2) − 2, d ≥ c]] q
[[n
, k
, d
]] q
m = 2, q = 3
[[80, 74, d ≥ 3]] 3
[[80, 72, d
≥ 3]] 3
[[80, 70, d ≥ 4]] 3
[[80, 68, d
≥ 4]] 3
[[80, 66, d ≥ 5]] 3
[[80, 64, d
≥ 5]] 3
[[80, 62, d ≥ 6]] 3
[[80, 60, d
≥ 6]] 3
[[80, 58, d ≥ 7]] 3
[[80, 56, d
≥ 7]] 3
[[80, 54, d ≥ 8]] 3
[[80, 52, d
≥ 8]] 3
[[80, 50, d ≥ 9]] 3
m = 2, q = 4
[[255, 249, d ≥ 3]] 4
[[255, 247, d
≥ 3]] 4
[[255, 245, d ≥ 4]] 4
[[255, 243, d
≥ 4]] 4
[[255, 241, d ≥ 5]] 4
[[255, 239, d
≥ 5]] 4
[[255, 237, d ≥ 6]] 4
[[255, 235, d
≥ 6]] 4
[[255, 233, d ≥ 7]] 4
[[255, 231, d
≥ 7]] 4
[[255, 229, d ≥ 8]] 4
[[255, 227, d
≥ 8]] 4
[[255, 225, d ≥ 9]] 4
[[255, 223, d
≥ 9]] 4
[[255, 221, d ≥ 10]] 4
[[255, 219, d
≥ 10]] 4
[[255, 217, d ≥ 11]] 4
[[255, 215, d
≥ 11]] 4
[[255, 213, d ≥ 12]] 4
[[255, 211, d
≥ 12]] 4
[[255, 209, d ≥ 13]] 4
[[255, 207, d
≥ 13]] 4
[[255, 205, d ≥ 14]] 4
[[255, 203, d
≥ 14]] 4
[[255, 201, d ≥ 15]] 4
[[255, 199, d
≥ 15]] 4
[[255, 197, d ≥ 16]] 4
m = 2, q = 5
[[624, 618, d ≥ 3]] 5
[[624, 616, d
≥ 3]] 5
[[624, 614, d ≥ 4]] 5
[[624, 612, d
≥ 4]] 5
[[624, 610, d ≥ 5]] 5
[[624, 608, d
≥ 5]] 5
[[624, 606, d ≥ 6]] 5
[[624, 604, d
≥ 6]] 5
[[624, 602, d ≥ 7]] 5
[[624, 600, d
≥ 7]] 5
[[624, 598, d ≥ 8]] 5
[[624, 596, d
≥ 8]] 5
[[624, 594, d ≥ 9]] 5
[[624, 592, d
≥ 9]] 5
[[624, 590, d ≥ 10]] 5
[[624, 588, d
≥ 10]] 5
[[624, 586, d ≥ 11]] 5
[[624, 584, d
≥ 11]] 5
[[624, 582, d ≥ 12]] 5
[[624, 580, d
≥ 12]] 5